18 practice questions on percentages, ratios, rates and short data tables. Take as long as you need, then see your score and a worked explanation for every answer.
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Numerical Reasoning Practice
Everyday numbers, worked step by step
✓18 multiple-choice questions, easier ones first
✓Six question types: sequences, ratios, percentages, rates, data tables and applied problems
✓Untimed and calculator-free — scrap paper helps; most people finish in about 12 minutes
✓Score out of 18, plus the calculation behind every answer
Unofficial practice test, for self-assessment and entertainment only. Not a standardized aptitude, hiring or IQ assessment.
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About This Test
What it explores
Practical number skills: spotting how quantities relate, working with percentages and ratios, reading small data tables and solving short everyday problems
Questions
18 multiple-choice questions, three of each type
Duration
Untimed — about 12 minutes for most people
How scoring works
One point per correct answer, no weighting and no time bonus. You see your total out of 18, the percentage, and how you did on each question type.
Numerical Reasoning Questions You Will Practice
Number sequences. Find the rule behind a list of numbers — including readings taken over time — and continue it.
Ratios & proportions. Scale a recipe, split a total in a given ratio, or work out one part from the whole.
Percentages. Discounts, growth rates and repeated percentage changes, including the classic “up 20%, then down 20%”.
Rates & time. Speed, distance and time, and two machines working together.
Data interpretation. Read a short table and compare values, differences or rates — not just the biggest number.
Applied problems. Everyday situations such as buying in packs, parking charges or ticket totals, where the wording decides the arithmetic.
A Worked Example
This sample is not one of the 18 questions — it shows the kind of reasoning the test asks for.
A shop sells 3 notebooks for $4.50. At the same price per notebook, how much do 7 notebooks cost?
A. $9.00
B. $10.50
C. $13.50
D. $31.50
Find the price of one first: $4.50 ÷ 3 = $1.50 per notebook. Then scale up: 7 × $1.50 = $10.50 (B). Option D comes from multiplying $4.50 by 7 without dividing first; option C is the price of 9 notebooks.
Reducing to “one unit” before scaling is the most reliable habit for ratio, rate and pricing questions.
Numerical Reasoning vs. Numerical IQ: Two Different Tests
This page is an untimed practice set built around applied problems: percentages, prices, speeds, ratios and small tables, each with a worked explanation after you finish.
If you want abstract number puzzles instead — sequences, number grids and symbol rules in an IQ-style format — take the separate 20-question Numerical IQ Test. The two tests share no questions.
More Free Tests
Related tests that look at reasoning from a different angle.